Question

If ${\log }_{5}x=2,$ what is the value of $\sqrt{x}$ ?

• A. $x^{\frac{2}{5}}$
• B. $\sqrt{5}$
• C. $5$
• D. $25$

Answer 1

Answer: (C)

$5$

Given, ${\log }_{5}x=2$
Using ${\log }_{a}b=x$

$\Rightarrow b=a^x$
$\Rightarrow x=5^2=25$
$\therefore \sqrt{x}=\sqrt{25}=5$
Hence, option C is correct choice.